Journal of Applied Mathematics
Volume 2013 (2013), Article ID 531497, 10 pages
Research Article

Data Visualization Using Rational Trigonometric Spline

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

Received 26 March 2013; Accepted 11 May 2013

Academic Editor: Francisco Chiclana

Copyright © 2013 Uzma Bashir and Jamaludin Md. Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using a piecewise rational cubic trigonometric spline with four shape parameters, are developed. Two of these shape parameters are constrained and the other two are set free to preserve the inherited shape features of the data as well as to control the shape of the curve. Numerical examples are given to illustrate the worth of the work.